In the blood of a Cercocebus albigena and of a C. galeritus agilis monkey, the infection with Plasmodium gonderi was found to follow its well-known chronic course; P. georgesi seemed to occur as a relapsing type of malaria parasite; P. petersi was found for only a few days and at a low level in C. albigena (end of an attack?). As shown by using polarized light, the pigment granules appeared mostly as fine dots in P. georgesi, short rods in P. gonderi and long needles in P. petersi. The three species can be distinguished by the morphological appearance of the nucleus of the young trophozoites, and also by the measurement of its surface area (Sa): small round nucleus (Sa= 0·81 ± 0·06 μm2) in P. gonderi, large 2-coloured nucleus (Sa= 1·43 ± 0·21 μm2) in P. petersi, and long crescent-shaped nucleus (Sa= 2·18±0·25 μm2) in P. georgesi. The first colour illustrations of the blood-stages of P. georgesi are presented. The dynamics of single and mixed blood infections in primate malaria parasites are discussed, with a proposal to classify them into 3 types.

Monotonicity with respect to the order v of the magnitude of general Bessel functions [Cscr]v(x) = aJv(x)+bYv(x) at positive stationary points of associated functions is derived. In particular, the magnitude of [Cscr]v at its positive stationary points is strictly decreasing in v for all positive v. It follows that supx[mid ]Jv(x)[mid ] strictly decreases from 1 to 0 as v increases from 0 to ∞. The magnitude of x1/2[Cscr]v(x) at its positive stationary points is strictly increasing in v. It follows that supx[mid ]x1/2[Cscr]v(x)[mid ] equals √2/π for 0 [les ] v [les ] 1/2 and strictly increases to ∞ as v increases from 1/2 to ∞.

It is shown that v1/3supx[mid ]Jv(x)[mid ] strictly increases from 0 to b = 0.674885… as v increases from 0 to ∞. Hence for all positive v and real x,

formula here

where b is the best possible such constant. Furthermore, for all positive v and real x,

formula here

where c = 0.7857468704… is the best possible such constant.

Additionally, errors in work by Abramowitz and Stegun and by Watson are pointed out.